Penelope and Cathy collected buttons. Penelope gave 10% of her buttons to Cathy. As a result, Cathy's buttons increased by 60%. If Penelope had 270 buttons left, find the total number of buttons the two girls had at first.
| |
Penelope |
Cathy |
Comparing the change
in Cathy's buttons |
| Before |
10x3 =
30 u |
|
5x1 =
5 u |
| Change |
- 1x3 =
- 3 u |
+ 1x3 =
+ 3 u |
+ 3x1 =
+ 3 u |
| After |
9x3 =
27 u |
|
8x1 =
8 u |
10% =
10100 =
110 60% =
60100 =
35 The number of buttons that Penelope gave to Cathy is repeated. Make the number of buttons that Penelope gave to Cathy the same. LCM of 1 and 3 is 3.
Number of buttons that Penelope had in the end = 27 u
27 u = 270
1 u = 270 ÷ 27 = 10
Number of buttons that Penelope and Cathy had at first
= 30 u + 5 u
= 35 u
= 35 x 10
= 350
Answer(s): 350
